Results 101 to 110 of about 170 (136)

Dynamic Hemivariational Inequalities and Their Applications

Journal of Optimization Theory and Applications, 1999
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Goeleven, D., Miettinen, M., Panagiotopoulos, P. D.   +2 more
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On some elliptic hemivariational and variational–hemivaritional inequalities

Nonlinear Analysis: Theory, Methods & Applications, 2005
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MARANO, Salvatore Angelo, PAPAGEORGIOU N. S.   +1 more
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Hysteresis and Hemivariational Inequalities: Semilinear Case

Journal of Global Optimization, 1998
The authors study a semilinear parabolic boundary value problem with a continuous hysteresis operator. The formulation of the problem leads to a hemivariational inequality. This fact has a strong physical motivation allowing mechanical laws which contain nonmonotone discontinuities.
Markku Miettinen, P. D. Panagiotopoulos
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Hemivariational inequalities

Journal of Applied Mathematics and Computing, 2005
Some iterative schemes are proposed for hemivariational inequalities. In the formulation of the hemivariational inequality problem, the author does not make clear the connection between the given Hilbert space \(H\) and the open bounded subset \(\Omega\) of \(R^N\) over which the integral is considered.
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Evolutionary Inclusions and Hemivariational Inequalities

2012
In this chapter we study evolutionary inclusions of second order. These are multivalued relations which involve the second-order time derivative of the unknown. We start with a basic existence result for such inclusions. Then we provide results on existence and uniqueness of solutions to evolutionary inclusions of the subdifferential type, i.e ...
Migórski, Stanisław, Ochal, Anna, Sofonea, Mircea   +2 more
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Singular Perturbations of Variational-Hemivariational Inequalities

SIAM Journal on Mathematical Analysis, 2020
Let $V_i$, $i=0,1$, be a reflexive Banach space and $K_i$ be a closed and convex subset of $V_i$. It is assumed that $V_1$ is continuously and densely embedded in $V_0$, and $K_1$ is the closure of $K_0$ in $V_0$. Two operators $A_i:V_i\to V_i^*$ are introduced such that \[ \|A_i u-A_i v\|_{V_i^*}\leq L_i \|u-v\|_{V_i},\forall u,v\in V_i\,.
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Bifunction hemivariational inequalities

Journal of Applied Mathematics and Computing, 2010
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Noor, Muhammad Aslam, Noor, Khalida Inayat, Huang, Zhenyu   +2 more
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Finite Element Approximation of Hemivariational Inequalities

Journal of Global Optimization, 2000
This paper analyzes a finite element approximation of elliptic and parabolic hemivariational inequalities. Firstly, the authors define a general setting which allows to consider the elliptic hemivariational inequalities of scalar type and to prove some existence results.
Jaroslav Haslinger, Markku Miettinen
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Perturbations of Hemivariational Inequalities with Constraints and Applications

Journal of Global Optimization, 1998
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Vicentiu D. Radulescu, Panagiotis D. Panagiotopoulos   +1 more
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A parabolic hemivariational inequality

Nonlinear Analysis: Theory, Methods & Applications, 1996
A quasilinear nonmonotone parabolic initial boundary value problem of the form \[ u'(t)+Au(t)+\Sigma(t)=f(t), \quad u(0)=u_0, \quad \Sigma(x,t)\in\widehat{b} (u(x,t)) \quad\text{a.e. }(x,t)\in Q_T, \] is considered taking into account the existence of its solutions. This is a generalization of stationary hemivariational inequalities to the dynamic case
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